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Finding the Fourth Proportional to 42,542.37, 58,713.98 and 24,400.17

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Solution

The fourth proportional to 42,542.37, 58,713.98 and 24,400.17 is: 33,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542.37 : 58,713.98 = 24,400.17 : x
  2. Step 2: Convert to fraction form
    42,542.37/58,713.98 = 24,400.17/x
  3. Step 3: Cross multiply
    42,542.37x = 58,713.98 × 24,400.17
  4. Step 4: Simplify right side
    42,542.37x = 1,432,630,971.38
  5. Step 5: Solve for x
    x = 1,432,630,971.38/42,542.37
  6. Step 6: Final answer
    x = 33,675.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.